|
|||||
|
|
| 一类广义摆方程的伪概周期解 | |
| 引用本文： | 邱汶华. 一类广义摆方程的伪概周期解[J]. 佳木斯工学院学报, 2009, 0(2): 298-300 |
| 作者姓名： | 邱汶华 |
| 作者单位： | 枣庄学院数学系,山东枣庄277160 |
| 摘 要： | 利用伪概周期函数的性质和Banach压缩映像原理研究了一类广义摆方程的伪概周期解问题，证明了该伪概周期解的存在性及在｜｜u-π｜｜L^∞〈π/2中的唯一性． |
| 关 键 词： | 广义摆方程 Duffing方程 伪概周期解 Banach压缩映像原理 |
The Pseudo Almost Periodic Solution of the Generalized Pendulum Equations |
|
| Affiliation: | QIU Wen - hua(Department of Mathematics ,Zaohuang University, Zaozhuang 277160,China) |
| Abstract: | In this paper, the usual generalized Pendulum equation is studied. The pseudo almost periodic solution is found, and its uniqueness in ｜｜u-π｜｜L^∞〈π/2 is also got. The crucial tools in the proofs are pseudo almost periodic functions and Banach contraction mapping principle. |
| Keywords: | generalized pendulum equation Duffing equation Pseudo almost periodic solution Banach contraction mapping principle. |
| 本文献已被 维普 等数据库收录！ | |